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Preservation of persistence and stability under intersections and operations,part 2: Stability |
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| Authors: | J -P Penot |
| Institution: | (1) Laboratory of Applied Mathematics, CNRS-URA 1204, University of Pau, Pau, France |
| Abstract: | The stability of the image of a moving convex set by a multifunction is considered. This study completes the persistence results obtained in Part 1 of this paper (Ref. 1). The results can be applied to epigraphs, hence to the convergence of convex functions. |
| Keywords: | Asymptotic cones boundedly proper relations limits of sets properness pseudoproperness stability upper semicontinuity weak limits |
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